Answers Algebra II Probability — TestQuestion 22

22

QuizMultiple Choice

Probability — Test

Question 22 • Algebra II

Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence. What is the probability that the sequence is guessed on the first try?

Answer

A

1 eighth

B

1 third

C

1 over 24

D

1 fourth

Explanation

There are 4 choices for the first color, 3 remaining choices for the second, and 2 remaining choices for the third. That makes 4 × 3 × 2 = 24 possible sequences. Only one sequence is correct, so the probability of guessing it on the first try is 1/24, or one over 24.

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